8,508,608

2⁶ × 132947

Starting at 8,508,608, the Collatz iteration reaches 1 after 106 steps. The first transition is 4254304; the starting value is even with 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 132947

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 16,884,396

Proper Divisor Sum 8,375,788

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8508593 ← → #8508611

Radix Representation

Decimal	8508608
Binary	100000011101010011000000 (24 bits)
Octal	0o40352300
Hexadecimal	0x81D4C0

Divisor Catalog (14)

1 2 4 8 16 32 64 132,947 265,894 531,788 1,063,576 2,127,152 4,254,304 8,508,608

Collatz Trajectory (106 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,508,608 4,254,304 2,127,152 1,063,576 531,788 265,894 132,947 398,842 199,421 598,264 299,132 149,566 74,783 224,350 112,175 336,526 168,263 504,790 252,395 757,186 378,593 1,135,780 567,890 283,945 851,836 425,918 212,959 638,878 319,439 958,318 479,159 1,437,478 718,739 2,156,218 1,078,109 3,234,328 1,617,164 808,582 404,291 1,212,874 606,437 1,819,312 909,656 454,828 227,414 113,707 341,122 170,561 511,684 255,842 127,921 383,764 191,882 95,941 287,824 143,912 71,956 35,978 17,989 53,968

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